Mines Nancy - 3rd Year - Master 2 - Department Energy & Fluid Mechanics

Academic Year 2018-2019

Advanced Fluid Mechanics

Transition to turbulence & turbulence - Applications to thermoconvection, aerodynamics & wind energy

Syllabus       ARCHE Page


      This module was set up by Emmanuel Plaut (EP) and Joachim Peinke. However, this year, a colleague of J. Peinke, Michael Hölling (MH), will give the part focussed on Turbulence & wind energy.

Find here the latest version of our lecture notes (with blank spaces - a complete version will be published on February 11, 2019 - you may ask it sooner by mail).

Hereafter we give the planning and a few information; this page is under work and will be updated.

In sessions 1 to 6, with EP, the students will use Mathematica; in sessions 7 to 9, with MH, the students will use R.

Find here a collection of texts of past exams, with elements of solution.

Nous remercions la Fondation Mines Nancy et le programme Erasmus+ pour leur soutien, qui nous permet d'inviter MH à donner 3 sessions dans ce module, ainsi qu'une conférence générale.

Session 1 January 7 (EP)

    Natural thermoconvection, Rayleigh - Bénard thermoconvection: linear stability analysis with slip boundary conditions

    [ essential of the video presentation, slightly reworked ; movie gallery of DNSs of thermoconvection flows of F. X. Trias ]

Personal homework 1 due by January 14 (EP)
     At the very beginning of session 2 on Monday, January 14, give me an hand-written personal solution of exercise 1.1.
Scoring scale: Q. 1: 4 P ; Q. 2: 6 P ; 1 P of bonus if you use good english.
Vous avez le droit de rédiger en français...

Session 2 January 14 (EP)

    Rayleigh - Bénard thermoconvection with slip boundary conditions: linear and weakly nonlinear stability analysis

    [ essential of the video presentation ]

Session 3 January 16 (EP)

    Rayleigh - Bénard thermoconvection: weakly nonlinear analysis, supercritical bifurcation, elements on further transitions and on the case of no-slip boundary conditions; Lorenz model & chaos; confined geometry - flow reversals...

    Preparatory work: finish ex. 1.4 at home !

    Nota bene: bring your laptop with Mathematica, we will perform some formal computations to solve, e.g., ex. 1.5 !

    [ essential of the video presentation ; chaos in the Lorenz system (on YouTube !) ]

Session 4 Monday January 28 9:00 - 12:15 (EP)

    Transition in open shear flows: generalities, the case of plane Poiseuille flow

    Nota bene: bring your laptop with Mathematica, we will perform computations to solve ex. 2.2 !

Session 5 Wednesday January 30 8:30 - 11:45 (EP)

    Transition in plane Poiseuille flow: linear and weakly nonlinear stability analysis, Tollmienn - Schlichting waves

Session 6 Monday February 4 14:00 - 17:00 (EP)

    Transition in plane Poiseuille flow: weakly nonlinear stability analysis, subcritical bifurcation to Tollmienn - Schlichting waves, subcritical & saddle-node bifurcations. Transition in open shear flows...

Turbulent flow data sets

Session 7 Tuesday February 5 8:30 - 11:45 (MH)

    Wind energy : conversion principles - Rotor blade aerodynamics

Session 8 Wednesday February 6 8:30 - 11:45 (MH)

    Rotor blade aerodynamics - Stochastic (Langevin) power curve

Session 9 Thursday February 7 8:30 - 11:45 (MH)

    Wind field and Turbulence

General Conference on Thursday February 7 14:00 (MH)

Wind Energy and the Need to Understand Turbulence

Web page of the conference

Examination Monday February 11 9:00 - 12:00 (EP)

Emmanuel Plaut
Last modified: Wed Jan 16 14:36:57 CET 2019